Posted by **Phil** on Sunday, April 5, 2009 at 2:05pm.

Find the point on the line 2 x + 7 y + 4 =0 which is closest to the point ( 0, 1 )

- Calc -
**Reiny**, Sunday, April 5, 2009 at 2:15pm
let P be that point

slope of given line is -2/7

so slope of line from P to (0,1) is 7/2

and since (0,1) is the y-intercept,

its equation is y = (7,2)x + 1

solve the two equations to find P

use substitution, i.e.,

2x + 7((7/2)x + 1) = -4

etc

- Calc -
**Phil**, Sunday, April 5, 2009 at 2:26pm
i found x value of P how do I find the y value of P?

- Calc -
**Reiny**, Sunday, April 5, 2009 at 4:04pm
sub it back in the original equation.

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